Question

В спортивной секции девочки составляют 60% числа мальчиков. Сколько процентов числа всех участников секции составляют девочки?

Answer 1

мальчики  -  100%

девочки    -   60%

значит девочки составляют 60/100 = 6/10 числа мальчиков, 

а мальчики составляют  1 или 10/10.

Т.о. девочки составляют 6  частей, а мальчики 10 таких же частей секции, значит всех детей секции можно ститать как 16 таких частей.

Итак  все участники

             секции           -   1 или  16/16  -  100%

               девочки       -    6/16              -  х %

Составим пропорцию:  1 : 6/16  =  100 : х

                                     16/6  =  100/х

                                     16*х   =  6*100

                                      16х   =  600

                                       х = 600 : 16

                                       х = 37,5

ОТВЕТ:  девочки составляют 37,5 % всех участников секции.

Answer 2

Calculating the Percentage of Female Participants in the Sports Section

To calculate the percentage of female participants in the sports section, we can use the given information that girls make up 60% of the number of boys in the section.

Step 1: Let's assume the number of boys in the sports section is represented by "B" and the number of girls is represented by "G".

Step 2: According to the given information, the number of girls (G) is 60% of the number of boys (B). This can be represented as: G = 0.6 * B.

Step 3: The total number of participants in the sports section is the sum of the number of boys and the number of girls, which is B + G.

Step 4: To find the percentage of girls in the sports section, we can calculate G / (B + G) * 100%.

Calculation

Using the given information, we can calculate the percentage of girls in the sports section as follows:

Step 1: Let's assume the number of boys in the sports section is 100.

Step 2: According to the given information, the number of girls is 60% of the number of boys, which is 60.

Step 3: The total number of participants in the sports section is 100 (boys) + 60 (girls) = 160.

Step 4: Calculating the percentage of girls in the sports section: 60 / 160 * 100% = 37.5%.

Therefore, the percentage of girls in the sports section is 37.5%.